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Chapter 7: Q. 6 (page 454)

Bearings A production run of ball bearings is supposed to have a mean diameter of 2.5000centimeters (cm). An inspector chooses 100bearings at random from the run. These bearings have mean diameter 2.5009cm.

identify the population, the parameter, the sample, and the statistic.

Short Answer

Expert verified

The sample is of 100bearings and population mean diameter becomes the associated parameter. The parameter is population mean diameter 渭and statistic is sample mean diameter x=2.5009cm.

Step by step solution

01

Given information

We need to identify the population, the parameter, the sample, and the statistic.

02

Simplify

Individuals that seek to collect information are present in the population.
A sample is a portion of the population from whom data was gathered.
It is noted that the sample consists of 100bearings randomly chosen from the run, whereas the population must consist of all bearings in the run.
A statistic is a descriptive measure for a sample, whereas a parameter is a descriptive measure for a population.
The mean diameter of 2.5009cmis calculated based on 100bearings in the sample, hence 2.5009cmreflects the sample mean diameter, which means 2.5009cmis a statistic.
The population mean diameter becomes the associated parameter.

Statistic :

x炉=sample mean diameter =2.5009cm
Parameter : 渭=population mean diameter

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